In a right-angled triangle, the lengths of two legs are 5 cm and 12 cm. What is the length of the hypotenuse - mathselab.com

In a right-angled triangle, the lengths of two legs are 5 cm and 12 cm. What is the length of the hypotenuse?

Question:

In a right-angled triangle, the lengths of two legs are 5 cm and 12 cm. What is the length of the hypotenuse?



Options:

A) 8 cm 
B) 13 cm 
C) 15 cm 
D) 17 cm



Answer:

B) 13 cm



Solution:

Use the Pythagorean theorem: Hypotenuse² = Leg₁² + Leg₂². Therefore, Hypotenuse² = 5² cm + 12² cm = 169 cm². Taking the square root of both sides, Hypotenuse = √169 cm = 13 cm.

Leave a Reply

Your email address will not be published.